The fringe width in a $YDSE$ pattern is $2.4 \times 10^{-4} \, m$ when red light of wavelength $6400 \, \mathring{A}$ is used. How much will it change if blue light of wavelength $4000 \, \mathring{A}$ is used?

  • A
    $9 \times 10^{-4} \, m$
  • B
    $0.9 \times 10^{-4} \, m$
  • C
    $4.5 \times 10^{-4} \, m$
  • D
    $0.45 \times 10^{-4} \, m$

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$A$ beam of light consisting of two wavelengths $650 \, nm$ and $520 \, nm$ is used to illuminate the slits of a Young's double-slit experiment. The order of the bright fringe of the longer wavelength that coincides with a bright fringe of the shorter wavelength at the least distance from the central maximum is:

In Young's double slit experiment, the distance between the slits is $3 \text{ mm}$ and the slits are $2 \text{ m}$ away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength $480 \text{ nm}$ and $600 \text{ nm}$ respectively. The separation on the screen between the $5^{th}$ order bright fringes of the two interference patterns is

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